1) During our discussion, our group reached a consensus that instrumental and relational understanding are distinct and can work independently.
2) The order of teaching is flexible, and there is no one correct way to do it. However, our group has considered starting our classroom lessons by focusing on the concept of 'relational' understanding. This approach allows students to learn independently and explore new concepts. Relational understanding benefits students in the classroom because it does not restrict their thought processes and allows for effective learning.
3) In a physics classroom, activities promote relational and instrumental understanding. Students are curious and eager to find answers in a physics classroom, using tools such as questions to become curious about the thought process. On the other hand, a math classroom illustrates instrumental understanding, where set rules and theories are learned to solve specific questions completely.
4) The most effective way to assess understanding is as follows:
For relational understanding, it's best to provide answers and then work backwards to trace the path to retrieve the same number.
An instrumental method for understanding can be demonstrated by solving for x in a math problem.
What step-by-step procedure is used to find the value of x?
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